Author Archives: Brook Lewis

Composite Units and Fractions

In my previous blog, I talked about a composite unit, what it is and how it plays an important role in many different aspects of students’ construction of mathematics. One of these areas is fractions. So how does the student’s ability to take a number as something that is countable affect their understanding of fractions?… Continue Reading

Composite Units

Counting-on is one of the things I have come across in Les Steffe’s research that is crucial, but not necessarily an obvious goal to have for students. It would seem that if a student could count-on (ex: given the problem 6+5, would start at six and count-on five more rather than starting from 1 and… Continue Reading

Skip Counting with a New Goal

If you are an elementary school teacher, I am sure that you are already familiar with skip counting. We want students to learn how to count by 2’s, 5’s, 10’s, etc. We think of this as preparing them to understand and efficiently multiply. I have recently learned from the research that if we add a… Continue Reading

You Can’t Teach Math

A week or so ago I had the pleasure of meeting Dr. Les Steffe, whose research we have been learning from. As he was speaking, he made a statement that I think we notice, but often as an educational system, we tend to ignore. He said, “You can’t teach math.” Now, what did he mean… Continue Reading

It’s Obvious…

As I was working on my Bachelor’s degree in mathematics, I had a professor that drove us all crazy. He would be discussing a topic, new to all of us of course, and as he was going through his process on the board, he would skip all sorts of steps, casually stating “it’s obvious”. My… Continue Reading